>Magister Scientiae - MSc / Observation of neutrinoless double beta decay (0 ) is currently the only means by which one could establish the Majorana nature of neutrinos. Additionally, such an observation would determine the absolute neutrino mass scale. However, this requires that the matrix element for a given 0 decay process is accurately calculated. The objective of this project is to provide useful nuclear structure information that aim to improve future theoretical calculations for the nuclear matrix element (NME) of 136Xe 0 decay to 136Ba. We studied neutron pairing correlations in 134Ba using the 136Ba(p; t) reaction to stringently test the Bardeen-Cooper-Schrie er (BCS) approximation in the A = 136 mass region. This is because many theoretical calculations of the NME's for 0 decay are performed using the quasiparticle random phase approximation (QRPA), which uses the BCS approximation to describe the ground states of the even-even parent and daughter nuclei. Our results show a signi cant fragmentation of the neutron-pair transfer to excited 0+ states, implying a breakdown of the BCS approximation in this mass region.